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Finding the Fourth Proportional to 1,328.14, 1,991.64 and 462.52

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Solution

The fourth proportional to 1,328.14, 1,991.64 and 462.52 is: 693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.14 : 1,991.64 = 462.52 : x
  2. Step 2: Convert to fraction form
    1,328.14/1,991.64 = 462.52/x
  3. Step 3: Cross multiply
    1,328.14x = 1,991.64 × 462.52
  4. Step 4: Simplify right side
    1,328.14x = 921,173.33
  5. Step 5: Solve for x
    x = 921,173.33/1,328.14
  6. Step 6: Final answer
    x = 693.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.